UNELE ASPECTE ALE TEORIEI GRUPURILOR DISCRETE DE SIMETRII GENERALIZATE ÎN SENS „FIZIC”

Alexandru LUNGU Universitatea de Stat din Moldova

Abstract

SOME ASPECTS OF THE THEORY OF DISCRETE GROUPS OF GENERALISED SYMMETRIES IN THE “PHYSICAL” SENSE In this article are gathered and analysed from the same point of view both the notions and the bases of the general theories of groups of symmetries recently generalized in the “physical” sense, which were elaborated by the author and reported to scientific conferences at different periods of time, and partially published in various scientific journals. The new notions of general algebraic structures are commented and analysed, and these were introduced by the author in the process of elaborating the general theory of recent generalisations in the “physical” sense of classical symmetry. The main known scientific results of the author about the groups of 푃 ̅ -symmetry, W p -symmetry and W q -symmetry are systematized, analysed and supplemented with new facts. Keywords: mathematics, discrete geometry, mathematical crystallography, groups, generalised symmetry.